Question

A particle moves $3m$ north, then $4m$ east and finally $6m$ south. Which of the following is correct about the distance travelled and the displacement?

• A. 5m, 13m
• B. 12m, 6m
• C. 13m, 5m
• D. 3m, 5m

Answer 1

Answer: (A), (D)

The correct options are
A

5m, 13m

D

3m, 5m

Let the particle start from A and finally reach B as shown. Distance is the length of the actual path taken by it.
In this case, distance $=3m+4m+6m=13m$

Displacement is the shortest distance between the initial and final position.
In this case, displacement = AB
$=\sqrt{(B{C}^2+A{C}^2)}$
$=\sqrt{(3^2+4^2)}m=5m$